Abstract
This paper presents an algorithm to compute high dimensional piecewise linear (PWL) functions with simplicial division of the input domain, and introduces the circuit scheme for its implementation in a FPGA. It is also investigated how to modify this algorithm and implementation to compute a class of PWL fuzzy systems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Sasaki, M., Ueno, F.: A novel implementation of fuzzy logic controller using new meet operation. In: 3 IEEE Int. Conf. Fuzzy Sys., Orlando, FL, pp. 1676–1681 (June 1993)
Rovatti, R.: Fuzzy multilinear and piecewise linear systems as universal approximators in Sobolev norms. IEEE Trans. on Fuzzy Systems 6, 235–249 (1998)
Chien, M.J., Kuh, E.S.: Solving Nonlinear Resistive Networks Using Piecewise-Linear Analysis and Simplicial Subdivision. IEEE Transactions on Circuits and Systems, Cas-24(6) (June 1977)
Echanobe, J., del Campo, I., Tarela, J.M.: Issues concerning the analysis and implementation of a class of fuzzy controllers Fuzzy Sets and Sys., 2, 252–271 (2005)
Echevarriai, P., Martinez, M.V., Echanobe, J., del Campo, I., Tarela, J.M.: Design and Hw/Sw Implementation of a Class of Piecewise-Linear Fuzzy System. Seminario de automatica y electrica industrial, Santander (SAAEI 2005) (2005)
Julian, P., Desages, A., Agamennoni, O.: High-level canonical piecewise linear representation using a simplicial partition. IEEE Transactions on Circuits and Systems-I 46, 463–480 (1999)
Parodi, M., Storace, M., Julian, P.: Synthesis of multiport resistors with piecewise-linear characteristics: a mixed-signal architecture. International Journal of Circuit Theory and Applications
Akl, S.G.: The design and analysis of parallel algorithms. Prentice-Hall, Englewood Cliffs (1989)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Echevarria, P., Martínez, M.V., Echanobe, J., del Campo, I., Tarela, J.M. (2007). Digital Hardware Implementation of High Dimensional Fuzzy Systems. In: Masulli, F., Mitra, S., Pasi, G. (eds) Applications of Fuzzy Sets Theory. WILF 2007. Lecture Notes in Computer Science(), vol 4578. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73400-0_30
Download citation
DOI: https://doi.org/10.1007/978-3-540-73400-0_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73399-7
Online ISBN: 978-3-540-73400-0
eBook Packages: Computer ScienceComputer Science (R0)